Realistic computable error bounds for three dimensional finite element analyses in linear elasticity

Ainsworth, Mark and Rankin, Richard Andrew Robert (2011) Realistic computable error bounds for three dimensional finite element analyses in linear elasticity. Computer Methods in Applied Mechanics and Engineering, 200 (21-22). pp. 1909-1926. ISSN 0045-7825 (https://doi.org/10.1016/j.cma.2011.01.017)

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Abstract

We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions. We show that the estimator provides guaranteed upper bounds on the energy norm of the error as well as (up to a constant and data oscillation terms) local lower bounds.

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• Item metadata

  Item type:	Article
  ID code:	37747
  Dates:	Date Event May 2011 Published
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	20 Feb 2012 14:20
  Last modified:	15 Dec 2024 01:17
  Related URLs:	Scopus publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/37747